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In this paper, I first develop desiderata for an ontology of intuitions on the basis of paradigmatic cases of intuitions in philosophy. A special focus lies on cases that have been subject to extensive first-order philosophical debates but have been receiving little attention in the current debate over the ontology of intuitions. I show that none of the popular accounts in the current debate can meet all desiderata. I discuss a view according to which intuitions reduce to beliefs, Timothy Williamson's (2004, 2007) account of intuitions as beliefs or inclinations to believe, and traditional rationalist accounts of intuitions. I then show that a widely ignored account of intuitions as appearance states can meet the desiderata best.